Answer with Step-by-step explanation:
Let F be a field .Suppose
and 
We have to prove that a has unique multiplicative inverse.
Suppose a has two inverses b and c
Then,
where 1 =Multiplicative identity

(cancel a on both sides)
Hence, a has unique multiplicative inverse.
Answer:
The correct answer is 6.
Step-by-step explanation:
When translating and reflecting figures, the shape remains the same. So, the side of 2x-4 is corresponding to the side of 8 and they are equal to each other.
To solve, set up an equation like this to find x:
2x-4=8
Then, add 4 to both sides of the equation:
2x=12
The goal is to get x by itself and in order to do that, divide both sides by 2:
x=6
The value of x is 6. I hope this helps! ☺
Answer:
An independent sample.
Step-by-step explanation:
In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.
An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.
Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.
<em>Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.</em>
I think it’s A I hope it helps
Answer: 3x^2 + 25x + 1
Step-by-step explanation:
3C + B
=> 3(x^2 + 8x + 3) + (x - 8)
=> 3x^2 + 24x + 9 + x - 8
=> 3x^2 + 25x + 1